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yap-6.3/packages/cplint/approx/simplecuddLPADs/ProblogBDD.c
2010-07-30 12:36:13 +02:00

873 lines
36 KiB
C

/******************************************************************************\
* *
* SimpleCUDD library (www.cs.kuleuven.be/~theo/tools/simplecudd.html) *
* SimpleCUDD was developed at Katholieke Universiteit Leuven(www.kuleuven.be) *
* *
* Copyright Katholieke Universiteit Leuven 2008 *
* *
* Author: Theofrastos Mantadelis, Angelika Kimmig, Bernd Gutmann *
* File: ProblogBDD.c *
* *
********************************************************************************
* *
* Artistic License 2.0 *
* *
* Copyright (c) 2000-2006, The Perl Foundation. *
* *
* Everyone is permitted to copy and distribute verbatim copies of this license *
* document, but changing it is not allowed. *
* *
* Preamble *
* *
* This license establishes the terms under which a given free software Package *
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\******************************************************************************/
/* modified by Fabrizio Riguzzi in 2009 for dealing with multivalued variables:
instead of variables or their negation, the script can contain equations of the
form
variable=value
Multivalued variables are translated to binary variables by means of a log
encodimg
*/
#include "simplecudd.h"
#include <signal.h>
#include <time.h>
typedef struct _parameters {
int loadfile;
int savedfile;
int exportfile;
int inputfile;
int debug;
int errorcnt;
int *error;
int method;
int queryid;
int timeout;
double sigmoid_slope;
int online;
int maxbufsize;
char *ppid;
} parameters;
typedef struct _gradientpair {
double probability;
double gradient;
} gradientpair;
typedef struct _extmanager {
DdManager *manager;
DdNode *t, *f;
hisqueue *his;
namedvars varmap;
} extmanager;
double ProbBool(extmanager MyManager, DdNode *node, int bits, int nBit,int posBVar,variable v, int comp);
double Prob(extmanager MyManager, DdNode *node, int comp);
int correctPosition(int index,variable v,int posBVar);
double ret_prob(extmanager MyManager, DdNode * bdd);
int argtype(const char *arg);
void printhelp(int argc, char **arg);
parameters loadparam(int argc, char **arg);
parameters params;
void handler(int num);
void pidhandler(int num);
void termhandler(int num);
double sigmoid(double x, double slope);
void myexpand(extmanager MyManager, DdNode *Current);
double CalcProbability(extmanager MyManager, DdNode *Current);
double CalcProbabilitySigmoid(extmanager MyManager, DdNode *Current);
gradientpair CalcGradient(extmanager MyManager, DdNode *Current, int TargetVar, char *TargetPattern);
int patterncalculated(char *pattern, extmanager MyManager, int loc);
char * extractpattern(char *thestr);
int main(int argc, char **arg) {
clock_t start, endc, endt;
double elapsedc,elapsedt;
extmanager MyManager;
DdNode *bdd;
bddfileheader fileheader;
int i, ivarcnt, code;
gradientpair tvalue;
double probability = -1.0;
char *varpattern;
varpattern = NULL;
code = -1;
params = loadparam(argc, arg);
if (params.errorcnt > 0) {
printhelp(argc, arg);
for (i = 0; i < params.errorcnt; i++) {
fprintf(stderr, "Error: not known or error at parameter %s.\n", arg[params.error[i]]);
}
return -1;
}
if (params.online == 0 && params.loadfile == -1) {
printhelp(argc, arg);
fprintf(stderr, "Error: you must specify a loading file.\n");
return -1;
}
if (params.method != 0 && arg[params.method][0] != 'g' && arg[params.method][0] != 'p' && arg[params.method][0] != 'o' && arg[params.method][0] != 'l') {
printhelp(argc, arg);
fprintf(stderr, "Error: you must choose a calculation method beetween [p]robability, [g]radient, [l]ine search, [o]nline.\n");
return -1;
}
if (params.debug) DEBUGON;
RAPIDLOADON;
SETMAXBUFSIZE(params.maxbufsize);
#ifndef _WIN32
signal(SIGINT, termhandler);
if (params.ppid != NULL) {
signal(SIGALRM, pidhandler);
alarm(5);
} else {
signal(SIGALRM, handler);
alarm(params.timeout);
}
#endif
if (params.online) {
MyManager.manager = simpleBDDinit(0);
MyManager.t = HIGH(MyManager.manager);
MyManager.f = LOW(MyManager.manager);
MyManager.varmap = InitNamedVars(1, 0);
bdd = OnlineGenerateBDD(MyManager.manager, &MyManager.varmap);
ivarcnt = GetVarCount(MyManager.manager);
} else {
fileheader = ReadFileHeader(arg[params.loadfile]);
switch(fileheader.filetype) {
case BDDFILE_SCRIPT:
if (params.inputfile == -1) {
printhelp(argc, arg);
fprintf(stderr, "Error: an input file is necessary for this type of loading file.\n");
return -1;
}
MyManager.manager = simpleBDDinit(fileheader.varcnt);
MyManager.t = HIGH(MyManager.manager);
MyManager.f = LOW(MyManager.manager);
MyManager.varmap = InitNamedMultiVars(fileheader.varcnt, fileheader.varstart,fileheader.bvarcnt);
if (LoadMultiVariableData(MyManager.manager,MyManager.varmap, arg[params.inputfile]) == -1) return -1;
start = clock();
bdd = FileGenerateBDD(MyManager.manager, MyManager.varmap, fileheader);
endc=clock();
elapsedc = ((double) (endc - start)) / CLOCKS_PER_SEC;
printf("elapsed_construction(%lf).\n",elapsedc);
ivarcnt = fileheader.varcnt;
break;
case BDDFILE_NODEDUMP:
if (params.inputfile == -1) {
printhelp(argc, arg);
fprintf(stderr, "Error: an input file is necessary for this type of loading file.\n");
return -1;
}
MyManager.manager = simpleBDDinit(fileheader.varcnt);
MyManager.t = HIGH(MyManager.manager);
MyManager.f = LOW(MyManager.manager);
MyManager.varmap = InitNamedVars(fileheader.varcnt, fileheader.varstart);
bdd = LoadNodeDump(MyManager.manager, MyManager.varmap, fileheader.inputfile);
ivarcnt = fileheader.varcnt;
break;
default:
fprintf(stderr, "Error: not a valid file format to load.\n");
return -1;
break;
}
}
#ifndef _WIN32
alarm(0);
#endif
// problem specifics
if (bdd != NULL) {
ivarcnt = RepairVarcnt(&MyManager.varmap);
code = 0;
/*
if (params.inputfile != -1) {
if (LoadVariableData(MyManager.varmap, arg[params.inputfile]) == -1) return -1;
if (!all_loaded(MyManager.varmap, 1)) return -1;
}*/
MyManager.his = InitHistory(ivarcnt);
if (params.method != 0) {
switch(arg[params.method][0]) {
case 'g':
for (i = 0; i < MyManager.varmap.varcnt; i++) {
if (MyManager.varmap.vars[i] != NULL) {
varpattern = extractpattern(MyManager.varmap.vars[i]);
if ((varpattern == NULL) || (!patterncalculated(varpattern, MyManager, i))) {
tvalue = CalcGradient(MyManager, bdd, i + MyManager.varmap.varstart, varpattern);
probability = tvalue.probability;
double factor = sigmoid(MyManager.varmap.dvalue[i], params.sigmoid_slope) * (1 - sigmoid(MyManager.varmap.dvalue[i], params.sigmoid_slope)) * params.sigmoid_slope;
if (varpattern == NULL) {
printf("query_gradient(%s,%s,%1.12f).\n", arg[params.queryid], MyManager.varmap.vars[i], tvalue.gradient * factor);
} else {
varpattern[strlen(varpattern) - 2] = '\0';
printf("query_gradient(%s,%s,%1.12f).\n", arg[params.queryid], varpattern, tvalue.gradient * factor);
}
ReInitHistory(MyManager.his, MyManager.varmap.varcnt);
}
if (varpattern != NULL) free(varpattern);
} else {
fprintf(stderr, "Error: no variable name given for parameter.\n");
}
}
if (probability < 0.0) {
// no nodes, so we have to calculate probability ourself
tvalue = CalcGradient(MyManager, bdd, 0 + MyManager.varmap.varstart, NULL);
probability = tvalue.probability;
}
printf("query_probability(%s,%1.12f).\n", arg[params.queryid], probability);
break;
case 'l':
tvalue = CalcGradient(MyManager, bdd, 0 + MyManager.varmap.varstart, NULL);
probability = tvalue.probability;
printf("query_probability(%s,%1.12f).\n", arg[params.queryid], probability);
break;
case 'p':
printf("probability(%1.12f).\n", CalcProbability(MyManager, bdd));
break;
case 'o':
onlinetraverse(MyManager.manager, MyManager.varmap, MyManager.his, bdd);
break;
default:
myexpand(MyManager, bdd);
break;
}
} else {
start=clock();
// simpleNamedBDDtoDot(MyManager.manager, MyManager.varmap, bdd, "bdd.dot");
printf("probability(%1.12f).\n", ret_prob(MyManager, bdd));
endt=clock();
elapsedt = ((double) (endt - start)) / CLOCKS_PER_SEC;
printf("elapsed_traversing(%lf).\n",elapsedt);
// myexpand(MyManager, bdd);
}
if (params.savedfile > -1) SaveNodeDump(MyManager.manager, MyManager.varmap, bdd, arg[params.savedfile]);
if (params.exportfile > -1) simpleNamedBDDtoDot(MyManager.manager, MyManager.varmap, bdd, arg[params.exportfile]);
ReInitHistory(MyManager.his, MyManager.varmap.varcnt);
free(MyManager.his);
}
if (MyManager.manager != NULL) {
KillBDD(MyManager.manager);
exit(code);
free(MyManager.varmap.dvalue);
free(MyManager.varmap.ivalue);
free(MyManager.varmap.dynvalue);
for (i = 0; i < MyManager.varmap.varcnt; i++)
{
free(MyManager.varmap.vars[i]);
free(MyManager.varmap.mvars[i].probabilities);
free(MyManager.varmap.mvars[i].booleanVars);
}
free(MyManager.varmap.vars);
free(MyManager.varmap.mvars);
free(MyManager.varmap.bVar2mVar);
}
if (params.error != NULL) free(params.error);
return code;
}
/* Shell Parameters handling */
int argtype(const char *arg) {
if (strcmp(arg, "-l") == 0 || strcmp(arg, "--load") == 0) return 0;
if (strcmp(arg, "-e") == 0 || strcmp(arg, "--export") == 0) return 2;
if (strcmp(arg, "-m") == 0 || strcmp(arg, "--method") == 0) return 3;
if (strcmp(arg, "-i") == 0 || strcmp(arg, "--input") == 0) return 4;
if (strcmp(arg, "-h") == 0 || strcmp(arg, "--help") == 0) return 5;
if (strcmp(arg, "-d") == 0 || strcmp(arg, "--debug") == 0) return 6;
if (strcmp(arg, "-id") == 0 || strcmp(arg, "--queryid") == 0) return 7;
if (strcmp(arg, "-t") == 0 || strcmp(arg, "--timeout") == 0) return 8;
if (strcmp(arg, "-sd") == 0 || strcmp(arg, "--savedump") == 0) return 9;
if (strcmp(arg, "-sl") == 0 || strcmp(arg, "--slope") == 0) return 10;
if (strcmp(arg, "-o") == 0 || strcmp(arg, "--online") == 0) return 11;
if (strcmp(arg, "-bs") == 0 || strcmp(arg, "--bufsize") == 0) return 12;
if (strcmp(arg, "-pid") == 0 || strcmp(arg, "--pid") == 0) return 13;
return -1;
}
void printhelp(int argc, char **arg) {
fprintf(stderr, "\nUsage: %s -l [filename] -i [filename] -o (-s(d) [filename] -e [filename] -m [method] -id [queryid] -sl [double]) (-t [seconds] -d -h)\n", arg[0]);
fprintf(stderr, "Generates and traverses a BDD\nMandatory parameters:\n");
fprintf(stderr, "\t-l [filename]\t->\tfilename to load supports two formats:\n\t\t\t\t\t\t1. script with generation instructions\n\t\t\t\t\t\t2. node dump saved file\n");
fprintf(stderr, "\t-i [filename]\t->\tfilename to input problem specifics (mandatory with file formats 1, 2)\n");
fprintf(stderr, "\t-o\t\t->\tgenerates the BDD in online mode instead from a file can be used instead of -l\n");
fprintf(stderr, "Optional parameters:\n");
fprintf(stderr, "\t-sd [filename]\t->\tfilename to save generated BDD in node dump format (fast loading, traverse valid only)\n");
fprintf(stderr, "\t-e [filename]\t->\tfilename to export generated BDD in dot format\n");
fprintf(stderr, "\t-m [method]\t->\tthe calculation method to be used: none(default), [p]robability, [g]radient, [o]nline\n");
fprintf(stderr, "\t-id [queryid]\t->\tthe queries identity name (used by gradient) default: %s\n", arg[0]);
fprintf(stderr, "\t-sl [double]\t->\tthe sigmoid slope (used by gradient) default: 1.0\n");
fprintf(stderr, "Extra parameters:\n");
fprintf(stderr, "\t-t [seconds]\t->\tthe seconds (int) for BDD generation timeout default 0 = no timeout\n");
fprintf(stderr, "\t-pid [pid]\t->\ta process id (int) to check for termination default 0 = no process to check works only under POSIX OS\n");
fprintf(stderr, "\t-bs [bytes]\t->\tthe bytes (int) to use as a maximum buffer size to read files default 0 = no max\n");
fprintf(stderr, "\t-d\t\t->\tRun in debug mode (gives extra messages in stderr)\n");
fprintf(stderr, "\t-h\t\t->\tHelp (displays this message)\n\n");
fprintf(stderr, "Example: %s -l testbdd -i input.txt -m g -id testbdd\n", arg[0]);
}
parameters loadparam(int argc, char **arg) {
int i;
parameters params;
params.loadfile = -1;
params.savedfile = -1;
params.exportfile = -1;
params.method = 0;
params.inputfile = -1;
params.debug = 0;
params.errorcnt = 0;
params.queryid = 0;
params.timeout = 0;
params.sigmoid_slope = 1.0;
params.online = 0;
params.maxbufsize = 0;
params.ppid = NULL;
params.error = (int *) malloc(argc * sizeof(int));
for (i = 1; i < argc; i++) {
switch(argtype(arg[i])) {
case 0:
if (argc > i + 1) {
i++;
params.loadfile = i;
} else {
params.error[params.errorcnt] = i;
params.errorcnt++;
}
break;
case 2:
if (argc > i + 1) {
i++;
params.exportfile = i;
} else {
params.error[params.errorcnt] = i;
params.errorcnt++;
}
break;
case 3:
if (argc > i + 1) {
i++;
params.method = i;
} else {
params.error[params.errorcnt] = i;
params.errorcnt++;
}
break;
case 4:
if (argc > i + 1) {
i++;
params.inputfile = i;
} else {
params.error[params.errorcnt] = i;
params.errorcnt++;
}
break;
case 5:
printhelp(argc, arg);
break;
case 6:
params.debug = 1;
break;
case 7:
if (argc > i + 1) {
i++;
params.queryid = i;
} else {
params.error[params.errorcnt] = i;
params.errorcnt++;
}
break;
case 8:
if ((argc > i + 1) && (IsPosNumber(arg[i + 1]))) {
i++;
params.timeout = atoi(arg[i]);
} else {
params.error[params.errorcnt] = i;
params.errorcnt++;
}
break;
case 9:
if (argc > i + 1) {
i++;
params.savedfile = i;
} else {
params.error[params.errorcnt] = i;
params.errorcnt++;
}
break;
case 10:
if ((argc > i + 1) && (IsRealNumber(arg[i + 1]))) {
i++;
params.sigmoid_slope = atof(arg[i]);
} else {
params.error[params.errorcnt] = i;
params.errorcnt++;
}
break;
case 11:
params.online = 1;
break;
case 12:
if ((argc > i + 1) && (IsPosNumber(arg[i + 1]))) {
i++;
params.maxbufsize = atoi(arg[i]);
} else {
params.error[params.errorcnt] = i;
params.errorcnt++;
}
break;
case 13:
if ((argc > i + 1) && (IsPosNumber(arg[i + 1]))) {
i++;
params.ppid = (char *) malloc(sizeof(char) * (strlen(arg[i]) + 1));
strcpy(params.ppid, arg[i]);
} else {
params.error[params.errorcnt] = i;
params.errorcnt++;
}
break;
default:
params.error[params.errorcnt] = i;
params.errorcnt++;
break;
}
}
return params;
}
/* Error Handlers */
void handler(int num) {
fprintf(stderr, "Error: Timeout %i exceeded.\n", params.timeout);
exit(-1);
}
void pidhandler(int num) {
char *s;
if (params.timeout > 0) {
params.timeout -= 5;
if (params.timeout <= 0) {
fprintf(stderr, "Error: Timeout exceeded.\n");
exit(-1);
}
}
s = (char *) malloc(sizeof(char) * (19 + strlen(params.ppid)));
strcpy(s, "ps "); strcat(s, params.ppid); strcat(s, " >/dev/null");
if (system(s) != 0) exit(4);
#ifndef _WIN32
signal(SIGALRM, pidhandler);
alarm(5);
#endif
free(s);
}
void termhandler(int num) {
exit(3);
}
/* General Functions */
double sigmoid(double x, double slope) {
return 1 / (1 + exp(-x * slope));
}
/* Debugging traverse function */
void myexpand(extmanager MyManager, DdNode *Current) {
DdNode *h, *l;
hisnode *Found;
char *curnode;
curnode = GetNodeVarNameDisp(MyManager.manager, MyManager.varmap, Current);
printf("%s\n", curnode);
if ((Current != MyManager.t) && (Current != MyManager.f) &&
((Found = GetNode(MyManager.his, MyManager.varmap.varstart, Current)) == NULL)) {
l = LowNodeOf(MyManager.manager, Current);
h = HighNodeOf(MyManager.manager, Current);
printf("l(%s)->", curnode);
myexpand(MyManager, l);
printf("h(%s)->", curnode);
myexpand(MyManager, h);
AddNode(MyManager.his, MyManager.varmap.varstart, Current, 0.0, 0, NULL);
}
}
/* Angelikas Algorithm */
double CalcProbability(extmanager MyManager, DdNode *Current) {
DdNode *h, *l;
hisnode *Found;
char *curnode;
double lvalue, hvalue, tvalue;
if (params.debug) {
curnode = GetNodeVarNameDisp(MyManager.manager, MyManager.varmap, Current);
fprintf(stderr, "%s\n", curnode);
}
if (Current == MyManager.t) return 1.0;
if (Current == MyManager.f) return 0.0;
if ((Found = GetNode(MyManager.his, MyManager.varmap.varstart, Current)) != NULL) return Found->dvalue;
l = LowNodeOf(MyManager.manager, Current);
h = HighNodeOf(MyManager.manager, Current);
if (params.debug) fprintf(stderr, "l(%s)->", curnode);
lvalue = CalcProbability(MyManager, l);
if (params.debug) fprintf(stderr, "h(%s)->", curnode);
hvalue = CalcProbability(MyManager, h);
tvalue = MyManager.varmap.dvalue[GetIndex(Current) - MyManager.varmap.varstart];
tvalue = tvalue * hvalue + lvalue * (1.0 - tvalue);
AddNode(MyManager.his, MyManager.varmap.varstart, Current, tvalue, 0, NULL);
return tvalue;
}
/* Bernds Algorithm */
gradientpair CalcGradient(extmanager MyManager, DdNode *Current, int TargetVar, char *TargetPattern) {
DdNode *h, *l;
hisnode *Found;
char *curnode;
gradientpair lvalue, hvalue, tvalue;
double this_probability;
double *gradient;
if (params.debug) {
curnode = GetNodeVarNameDisp(MyManager.manager, MyManager.varmap, Current);
fprintf(stderr, "%s\n", curnode);
}
if (Current == MyManager.t) {
tvalue.probability = 1.0;
tvalue.gradient = 0.0;
return tvalue;
}
if (Current == MyManager.f) {
tvalue.probability = 0.0;
tvalue.gradient = 0.0;
return tvalue;
}
if ((Found = GetNode(MyManager.his, MyManager.varmap.varstart, Current)) != NULL) {
tvalue.probability = Found->dvalue;
tvalue.gradient = *((double *) Found->dynvalue);
return tvalue;
}
l = LowNodeOf(MyManager.manager, Current);
h = HighNodeOf(MyManager.manager, Current);
if (params.debug) fprintf(stderr, "l(%s)->", curnode);
lvalue = CalcGradient(MyManager, l, TargetVar, TargetPattern);
if (params.debug) fprintf(stderr, "h(%s)->", curnode);
hvalue = CalcGradient(MyManager, h, TargetVar, TargetPattern);
this_probability = sigmoid(MyManager.varmap.dvalue[GetIndex(Current) - MyManager.varmap.varstart], params.sigmoid_slope);
tvalue.probability = this_probability * hvalue.probability + (1 - this_probability) * lvalue.probability;
tvalue.gradient = this_probability * hvalue.gradient + (1 - this_probability) * lvalue.gradient;
if ((GetIndex(Current) == TargetVar) ||
((TargetPattern != NULL) && patternmatch(TargetPattern, MyManager.varmap.vars[GetIndex(Current)]))) {
tvalue.gradient += hvalue.probability - lvalue.probability;
}
gradient = (double *) malloc(sizeof(double));
*gradient = tvalue.gradient;
AddNode(MyManager.his, MyManager.varmap.varstart, Current, tvalue.probability, 0, gradient);
return tvalue;
}
char * extractpattern(char *thestr) {
char *p;
int i = 0, sl = strlen(thestr);
while((thestr[i] != '_') && (i < sl)) i++;
if (i == sl) return NULL;
i++;
p = (char *) malloc(sizeof(char) * (i + 2));
strncpy(p, thestr, i);
p[i] = '*';
p[i + 1] = '\0';
return p;
}
int patterncalculated(char *pattern, extmanager MyManager, int loc) {
int i;
if (pattern == NULL) return 0;
for (i = loc - 1; i > -1; i--)
if (patternmatch(pattern, MyManager.varmap.vars[i])) return 1;
return 0;
}
double Prob(extmanager MyManager, DdNode *node, int comp)
/* compute the probability of the expression rooted at node
nodes is used to store nodes for which the probability has alread been computed
so that it is not recomputed
*/
{
int mVarIndex,nBit,index;
variable v;
hisnode *Found;
double res;
double value;
if (Cudd_IsConstant(node))
{
value=Cudd_V(node);
if (comp)
{
return 0.0;
}
else
{
return 1.0;
}
}
else
{
Found = GetNode1(MyManager.varmap.bVar2mVar,MyManager.his, MyManager.varmap.varstart, node);
if (Found!=NULL)
{
return Found->dvalue;
}
else
{
index=Cudd_NodeReadIndex(node);
mVarIndex=MyManager.varmap.bVar2mVar[index];
v=MyManager.varmap.mvars[mVarIndex];
nBit=v.nBit;
res=ProbBool(MyManager,node,0,nBit,0,v,comp);
AddNode1(MyManager.varmap.bVar2mVar,MyManager.his, MyManager.varmap.varstart, node, res, 0, NULL);
return res;
}
}
}
double ProbBool(extmanager MyManager, DdNode *node, int bits, int nBit,int posBVar,variable v, int comp)
/* explores a group of binary variables making up the multivalued variable v */
{
DdNode *T,*F;
double p,res;
double * probs;
int index;
probs=v.probabilities;
if (nBit==0)
{
if (bits>=v.nVal)
{
return 0.0;
}
else
{
p=probs[bits];
res=p*Prob(MyManager,node,comp);
return res;
}
}
else
{
index=Cudd_NodeReadIndex(node);
if (correctPosition(index,v,posBVar))
{
T = Cudd_T(node);
F = Cudd_E(node);
bits=bits<<1;
res=ProbBool(MyManager,T,bits+1,nBit-1,posBVar+1,v,comp);
comp=(!comp && Cudd_IsComplement(F)) || (comp && !Cudd_IsComplement(F));
res=res+
ProbBool(MyManager,F,bits,nBit-1,posBVar+1,v,comp);
return res;
}
else
{
bits=bits<<1;
res=ProbBool(MyManager,node,bits+1,nBit-1,posBVar+1,v,comp);
res=res+
ProbBool(MyManager,node,bits,nBit-1,posBVar+1,v,comp);
return res;
}
}
}
int correctPosition(int index,variable v,int posBVar)
/* returns 1 is the boolean variable with index posBVar is in the correct position
currently explored by ProbBool */
{
int bvar;
bvar=v.booleanVars[posBVar];
return(bvar==index);
}
double ret_prob(extmanager MyManager, DdNode * bdd)
{
double prob;
/* dividend is a global variable used by my_hash
it is equal to an unsigned int with binary representation 11..1 */
prob=Prob(MyManager,bdd,Cudd_IsComplement(bdd));
return prob;
}